Răspuns:
24) 49
Explicație pas cu pas:
23)
[tex]4 \sin(60) ( \tan(60) - \cos(30) ) \\ = 4 \times \frac{ \sqrt{3} }{2} ( \sqrt{3} - \frac{ \sqrt{3} }{2} ) \\ = 2 \sqrt{3} \times \frac{ \sqrt{3} }{2} \\ = 3[/tex]
24) <B = <C = 75° => <A = 30°
[tex]aria = \frac{14 \times 14 \times \sin(30) }{2} = \frac{196 \times \frac{1}{2} }{2} = \frac{196}{4} = 49[/tex]
24)
[tex] \frac{ \tan(60) }{ \cot(30) \times \cos(45) } = \frac{ \sqrt{3} }{ \sqrt{3} \times \frac{ \sqrt{2} }{2} } = \frac{2}{ \sqrt{2} } = \sqrt{2} [/tex]
